# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0387 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0387?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 193r, page id 00067993:0387 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 188v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=387 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000387.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 105 lines, status machine # Lines: 105 recognised, mean confidence 0.70 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. J W00 ime + rod 1+5 a 5 Ergo 1160 2 mu + rad Ert ergo aequatio inter et 28sip mo + ra In qua aequatione quatuor sunt arbitiaria quantiates. Atque hac sane methodo rem commodissime successuam artitroa X 15 nx W, X b Sed ut propositum ab solvamus, ex duabus aequationibus, quarum altera est ad conicamdatam, inter 4y YX sy +X ws. C OuD se compositis faciamus unam adcirculum: Si duae sud aequationes nnn ad ope formulae generalis: n. item A( 0, iem qu0 le a. y. x erpa X + ra Xy +rbae ernay 10. Sed notandum, -g. =4... alta. + Vw .. +lc. + es.. =m_ 1. -m.. =m.. DpC. SY Unde reformmando: y X arpa X. + ra XV ad + V Ao Explicem, ordine cognitas hujus aequationis et primum cognita ipsius X dabit: asatim tat. +- 1Y Su. 2a- mat. C + aW =mW.. va -imdae - mat. a _Y + aVa cognita iptius X. 92 a8a) m quat e Hie 1d. 1teda 8 F. 4egs. 2 2 - X s.- ade + ad m vda, cognita pura 11 8Sd sui (a = a yd + va 3 qa cognita ipsiuc. V. e Pr.. ad agun dic aB si cdc u ad na 46 sive sao ou ad n B- 204 . . anqn a sud a 4 6p y al p Cam hoc p1 - et. +a IpY + da 10t z Eo + =W 171 asu. y -2 s. . VZ med + Y6V ar a Ego E A sin d n + co cm a a Er9 40 + as (22 S.: 2S V. 28.. ) S. V sed fi hanc cognitam conferas cum cognita ipsius st aequatio collanitia alsurda, nec pronide ita habebitur exitus rebebit enim esse 0. R omedium non abud nunc quidam video, quam ut diametiis utamur sectionis Conicae ad quae ordinata oblique applicetur, unde fit ut pparabolo ita quidem locus non sit, nisi forte methodo slusiana quam alibi exacte verte. disentiam.